Q: If Sharad is 60 years old and Santosh is 80 years old, how many years ago was the ratio of their ages 4:6?

A 10 years
B 15 years
C 20 years
D 25 years
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Answer: C

Let x represent the number of years ago.

At present:

Sharad's age = 60 years
Santosh's age = 80 years
x years ago:

Sharad's age = 60 - x years
Santosh's age = 80 - x years
Ratio of their ages x years ago was 4:6:

(60 - x) : (80 - x) = 4 : 6
6(60 - x) = 4(80 - x)
360 - 6x = 320 - 4x
x = 20
Therefore, 20 years ago, the ratio of their ages was 4:6

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